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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 22 — Nov. 3, 2003
  • pp: 2905–2910

Reformulation of the plane wave method to model photonic crystals

Rossella Zoli, Marco Gnan, Davide Castaldini, Gaetano Bellanca, and Paolo Bassi  »View Author Affiliations

Optics Express, Vol. 11, Issue 22, pp. 2905-2910 (2003)

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A new formulation of the plane-wave method to study the characteristics (dispersion curves and field patterns) of photonic crystal structures is proposed. The expression of the dielectric constant is written using the superposition of two regular lattices, the former for the perfect structure and the latter for the defects. This turns out to be simpler to implement than the classical one, based on the supercell concept. Results on mode coupling effects in two-dimensional photonic crystal waveguides are studied and successfully compared with those provided by a Finite Difference Time Domain method. In particular the approach is shown able to determine the existence of “mini-stop bands” and the field patterns of the various interfering modes.

© 2003 Optical Society of America

OCIS Codes
(130.0130) Integrated optics : Integrated optics
(230.7380) Optical devices : Waveguides, channeled

ToC Category:
Research Papers

Original Manuscript: September 15, 2003
Revised Manuscript: October 24, 2003
Published: November 3, 2003

Rossella Zoli, Marco Gnan, Davide Castaldini, Gaetano Bellanca, and Paolo Bassi, "Reformulation of the plane wave method to model photonic crystals," Opt. Express 11, 2905-2910 (2003)

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